All categories

3 years ago

6 (3x-1)-10x. with work please :)

1 answer:

4 0

Hey there!
Let's break this expression into two parts:
6(3x-1) and -10x

To solve the first part, we need to use the distributive property which states:
a(b+c) = ab+ac

Applying that to this problem, we have:
6(3x) + 6(-1) =
18x - 6

Now, we can take that -10x and put it right back in:

18x - 6 - 10x

Combine like terms and subtract the 10x from the 18x to get:
8x - 6

Hope this helps!

You might be interested in

How do I complete this question on arc length?

tresset_1 [31]

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

$C=2\pi r$ [set r = 1.5 m]

⇒ $C=2\pi (1.5)$

⇒ $C=3\pi$ m

One revolution of the water wheel corresponds to $3\pi$ meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

$15(3\pi )$ = $45\pi$ $m$ /min

Using this result, the speed of the river in kilometers per hour will be:

$v=\frac{45\pi m }{1 min}$ × $\frac{1 km}{1000 m}$ × $\frac{60 min}{1 h}$

⇒ $v=8.48230016469$ $km/h$

⇒ $v$ ≈ $8.5$ km/h

5 0

3 years ago

Read 2 more answers

An ice cream cone is filled with a vanilla and chocolate ice cream at a ratio of 2:

nirvana33 [79]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
----------\\
diameter=2\\
r=\frac{diameter}{2}\\
\quad = 1\\
h=6
\end{cases}\implies V=\cfrac{\pi\cdot 1^2\cdot 6}{3}
\\\\\\
V=2\pi \\\\
-------------------------------$

$\bf \cfrac{\stackrel{vanilla}{volume}}{\stackrel{chocolate}{volume}}\qquad 2:1\qquad \cfrac{2}{1}\implies \cfrac{2\cdot \frac{V}{2+1}}{1\cdot \frac{V}{2+1}}\implies \cfrac{2\cdot \frac{2\pi }{2+1}}{1\cdot \frac{2\pi }{2+1}}
\\\\\\
\cfrac{2\cdot \frac{2\pi }{3}}{1\cdot \frac{2\pi }{3}}\implies \cfrac{\quad \frac{4\pi }{3}\quad }{\frac{2\pi }{3}}$

3 0

3 years ago

Read 2 more answers

Lance is swimming at the country club swimming pool. The pool is 30 feet wide and 100 feet long. If Lance swims the diagonal len

Setler [38]

Lance Will Swim 30 ft. Im Not Sure.

4 0

3 years ago

Solve for x:

astraxan [27]

The answer for this question is 8

7 0